3 citations · 7 across the 7 of their papers we have counts for
9 papers · 1 filter
A unified treatment of degenerate nonlocal elliptic problems
L. Gasinski, H. Ramos Quoirin, J. Santos Junior +1
We develop a unified framework for a broad class of nonlocal elliptic problems, encompassing a wide spectrum of nonlocal terms, including the classical Kirchhoff and Carrier-type e…
Prescribed energy solutions of concave-convex type problems involving sign-changing or vanishing weights
Kanishka Perera, Humberto Ramos Quoirin, Kaye Silva
We provide an abstract approach to find couples satisfying $$Φ_λ(u)=c \quad \mbox{and} \quad Φ'_λ(u)=0,$$ for some suitable values of $c \in \mathbb…
Multiplicity of dead core solutions in indefinite elliptic problems
Vladimir Bobkov, Humberto Ramos Quoirin
We investigate nonnegative solutions of indefinite elliptic problems which enjoy the dead core phenomenon. Our model is the subhomogeneous problem $$ -Δ_p u = (a^+(x) - μa^-(x))|u|…
Further applications of the Nehari manifold method to functionals in
Edir J. F. Leite, Humberto Ramos Quoirin, Kaye Silva
We proceed with the study of the Nehari manifold method for functionals in , where is a Banach space. We deal now with functionals whose fibering maps h…
Non-existence of dead cores in fully nonlinear elliptic models
Joao Vitor da Silva, Disson dos Prazeres, Humberto Ramos Quoirin
We investigate non-existence of nonnegative dead-core solutions for the problem $$|Du|^γF(x, D^2u)+a(x)u^q = 0 \quad \mbox{in} \quad Ω, \quad u=0 \quad \mbox{ on } \quad \partialΩ.…
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu
Let and be sign-changing, where is a bounded and smooth domain of . We show that the functional \[ I_{q}(u):=\int_Ω\left( \frac{1}{…